Assume there are three machines I, II, and III in a semiconductor manufacturing facility that make chips. They manufacture, respectively, 20, 30, and 50 percent of the total semiconductor chips there. Of their outputs, respectively, 5, 4, and 2 percent of the chips are defective. A chip is drawn randomly from the combined output of the three machines. (1) What is the probability that this chip is defective? (2) Given that this chip is found defective, what is the probability that it was manufactured by machine I?

Assume there are three machines I, II, and III in a semiconductor manufacturing facility that make chips. They manufacture, respectively, 20, 30, and 50 percent of the total semiconductor chips there. Of their outputs, respectively, 5, 4, and 2 percent of the chips are defective. A chip is drawn randomly from the combined output of the three machines. (1) What is the probability that this chip is defective? (2) Given that this chip is found defective, what is the probability that it was manufactured by machine I?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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